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APS » Journals » Phys. Rev. Lett. » Volume 83 » Issue 18
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Phys. Rev. Lett. 83, 3605–3608 (1999)

Spacetime and the Holographic Renormalization Group

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Vijay Balasubramanian1,2,* and Per Kraus3,†
1Lyman Laboratory of Physics, Harvard University, Cambridge, Massachusetts 02138
2Institute for Theoretical Physics, University of California, Santa Barbara, California 93106
3Enrico Fermi Institute, University of Chicago, Chicago, Illinois 60637

Received 2 April 1999; published in the issue dated 1 November 1999

Anti–de Sitter space can be foliated by a family of nested surfaces homeomorphic to the boundary of the space. We propose a holographic correspondence between theories living on each surface in the foliation and quantum gravity in the enclosed volume. The flow of observables between our “interior” theories is described by a renormalization group equation. The dependence of these flows on the foliation of space encodes bulk geometry.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.83.3605
DOI:
10.1103/PhysRevLett.83.3605
PACS:
11.25.Hf, 04.20.Gz, 04.60.-m, 11.10.Hi

*Electronic address: vijayb@pauli.harvard.edu

†Electronic address: pkraus@theory.uchicago.edu

 
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